Search a number
-
+
12941964 = 22337171953
BaseRepresentation
bin110001010111…
…101010001100
3220100112001000
4301113222030
511303120324
61141220300
7215001450
oct61275214
926315030
1012941964
11733a542
124401690
1328b1989
141a0c660
1512099c9
hexc57a8c

12941964 has 192 divisors, whose sum is σ = 43545600. Its totient is φ = 3234816.

The previous prime is 12941963. The next prime is 12941989. The reversal of 12941964 is 46914921.

It is a happy number.

12941964 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12941963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244162 + ... + 244214.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 212941964 is an apocalyptic number.

12941964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12941964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

12941964 is an abundant number, since it is smaller than the sum of its proper divisors (30603636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12941964 is a wasteful number, since it uses less digits than its factorization.

12941964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 101 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 12941964 is about 3597.4941278618. The cubic root of 12941964 is about 234.7830440679.

The spelling of 12941964 in words is "twelve million, nine hundred forty-one thousand, nine hundred sixty-four".